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Finding the Fourth Proportional to 833.68, 1,150.75 and 538.72

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Solution

The fourth proportional to 833.68, 1,150.75 and 538.72 is: 743.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.68 : 1,150.75 = 538.72 : x
  2. Step 2: Convert to fraction form
    833.68/1,150.75 = 538.72/x
  3. Step 3: Cross multiply
    833.68x = 1,150.75 × 538.72
  4. Step 4: Simplify right side
    833.68x = 619,932.04
  5. Step 5: Solve for x
    x = 619,932.04/833.68
  6. Step 6: Final answer
    x = 743.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.